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Need math homework help x2 plus y2 plus 10x plus 2y plus 22 equals 0 i am looking for the graph of the equation is a circle with a center and the radius?
Wiki User
∙ 12y ago
We have:
x^2 + y^2 + 10x + 2y + 22 = 0
We want to find the standard equation for a circle, which is:
(x - a)^2 + (y - b)^2 = r^2
Where (a,b) is the center of the circle, and the radius is r.
Regroup with like variables, and move the constant term to the right:
x^2 + 10x + y^2 + 2y = -22
complete the square on both quadratics on the left:
x^2 + 10x + c + y^2 + 2y + d = -22 + c + d
find c, such that 2 * (c^(1/2)) = 10 and find d, such that 2 * (d^(1/2)) = 2
c = 25 d = 1
x^2 + 10x + 25 + y^2 + 2y + 1 = -22 + 25 + 1
(x + 5)^2 + (y + 1)^2 = 4
We now have the standard equation for a circle, which gives us a center at:
(-5, -1)
and which has a radius of 2.
Wiki User
∙ 12y ago
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How do you find the general form equation of a circle?
There are probably several ways to approach it; one general equation for the circle is: (x - a)2 + (y - b)2 = r2 This describes a circle with center at coordinates (a, b), and with a radius of r.
How do you write an equation for a circle with a center?
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9
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depends on the equation.
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How do you write an equation in standard form of a circle with a center and radius?
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The equation of circle is (x−h)^2+(y−k)^2 = r^2, where h,k is the center of circle and r is the radius of circle. so, according to question center is origin and radius is 10, therefore, equation of circle is x^2 + y^2 = 100
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What is the equation of a unit circle?
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What is a chord passing through the center of a circle?
a diameter
